Scale Models and Similar Figures

Front

What is a scale model?

Back

A scale model is a physical representation of an object that maintains accurate relationships between its dimensions, scaled down or up from the original size.

Front

What is the scale factor?

Back

The scale factor is the ratio of any two corresponding lengths in two similar geometric figures.

Front

How do you calculate the distance on a map using a scale?

Back

To calculate the distance on a map, divide the actual distance by the scale factor.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are proportional.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

What is the Side-Angle-Side (SAS) Similarity Theorem?

Back

The SAS Similarity Theorem states that if an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are proportional, then the triangles are similar.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are congruent.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Front

What is the formula for finding the scale factor between two similar figures?

Back

Scale factor = Length of a side in the new figure / Length of the corresponding side in the original figure.

Front

If the scale of a map is 1 cm : 10 miles, how far apart are two cities that are 50 miles apart on the map?

Back

5 cm (50 miles / 10 miles per cm = 5 cm).